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Lecture
Matrix Calculus
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Related lectures (29)
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Calculs and Algorithms for Determinant
Covers calculations and algorithms for determining the determinant of a matrix, including permuting rows and multiplying by coefficients.
Linear Algebra: Matrices and Linear Applications
Covers matrices, linear applications, vector spaces, and bijective functions.
Matrix Multiplication
Covers matrix multiplication, properties, and the identity matrix in algebraic operations.
Singular Value Decomposition: Applications and Interpretation
Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.
Characterization of Invertible Matrices
Explores the properties of invertible matrices, including unique solutions and linear independence.
Diagonalization of Linear Transformations
Covers the diagonalization of linear transformations in R^3, exploring properties and examples.
Linear Equations: Vectors and Matrices
Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.
Matrix Operations: Definitions and Examples
Covers the basic operations on matrices, including addition, scalar multiplication, and matrix multiplication.
Row-echelon and reduced row-echelon matrices
Explains row-echelon and reduced row-echelon matrices and their role in simplifying system resolution.
Matrix Calculus
Covers matrix calculus, including determinants, matrix inversion, and solutions to systems of linear equations.